Question

can you conclude that these triangles are congruent?

Explanation:

Step1: Check the congruence criteria

We have two triangles \( \triangle VUS\) and \( \triangle TSU\).
We know that \( VS = TS\) (marked with one - tick), \( \angle V=\angle T\) (marked with an arc), and \( US = US\) (common side).

Step2: Apply the congruence rule

By the Side - Angle - Side (SAS) congruence criterion.
In \( \triangle VUS\) and \( \triangle TSU\), we have \( VS = TS\), \( \angle V=\angle T\), \( US = US\). So, \( \triangle VUS\cong\triangle TSU\) (by SAS).

Answer:

yes